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Multi-resolution Multiscale Finite Volume Method for Reservoir Simulation

Mosharaf Dehkordi, Mehdi | 2012

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  1. Type of Document: Ph.D. Dissertation
  2. Language: Farsi
  3. Document No: 45153 (08)
  4. University: Sharif University of Technology
  5. Department: Mechanical Engineering
  6. Advisor(s): Taghizadeh Manzari, Mehrdad
  7. Abstract:
  8. Many of natural porous media, especially oil reservoirs, have strong heterogeneities that span a wide range of scales. These heterogeneities are manifested in the form of strong variations in the permeability field. These variations can be of several orders of magnitude within a small distance. Therefore, the flow in porous media is a multiscale Phenomenon. Due to prohibitive size of input data, numerical simulation of such problems needs extremely large computer memory and computational time, which can be impractical in some cases. In recent years, multiscale methods as a powerful tool have been employed to tackle this problem. In present study, a family of non-iterative Multiscale Finite Volume (MsFV )methods is investigated. The main goal here is to study the effects of coarse grids type and their arrangement on the accuracy, computational cost, and implementation of the MsFV methods. To achieve this goal, an altered coarse grids arrangement is proposed and is compared with those of the original MsFV method. Using this new grid arrangement leads to an easier implementation of the MsFV and in some cases can also lead to higher accuracy. Moreover, a Multi-resolution Multiscale Finite Volume (MrMsFV ) method was proposed which employs a set of coarse grids with different resolutions (scale) to solve the pressure equation. Then, using a post-processing step, the fine-scale pressure field is reconstructed and a conservative fine-scale velocity field is produced. This velocity field is used to solve transport equations. It is shown for several heterogeneous problems that the coarse grids arrangement can have considerable effects on the computational cost and accuracy of the MsFV methods. Furthermore, it is shown that using a proper set of coarse grids, some of the weaknesses (like non-physical peaks in the pressure field) of the MsFV methods can be overcome
  9. Keywords:
  10. Porous Media ; Inhomogeneity ; Multiscale Finite Volume Method ; Multiresolution Grid

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